130125600
130,125,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 130125600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
130125600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 130125600:
25 × 32 × 52 × 11 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 31 × 53)See below for interesting mathematical facts about the number 130125600 from the Numbermatics database.
Names of 130125600
- Cardinal: 130125600 can be written as One hundred thirty million, one hundred twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.301256 × 108
Factors of 130125600
Divisors of 130125600
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 31 32 33 36 40 44 45 48 50 53 55 60 62 66 72 75 80 88 90 93 96 99 100 106 110 120 124 132 144 150 155 159 160 165 176 180 186 198 200 212 220 225 240 248 264 265 275 279 288 300 310 318 330 341 352 360 372 396 400 424 440 450 465 477 480 495 496 528 530 550 558 583 600 620 636 660 682 720 744 775 792 795 800 825 848 880 900 930 954 990 992 1023 1056 1060 1100 1116 1166 1200 1240 1272 1320 1325 1364 1395 1440 1488 1550 1584 1590 1643 1650 1696 1705 1749 1760 1800 1860 1908 1980 2046 2120 2200 2232 2325 2332 2385 2400 2475 2480 2544 2640 2650 2728 2790 2915 2976 3069 3100 3168 3180 3286 3300 3410 3498 3600 3720 3816 3960 3975 4092 4240 4400 4464 4650 4664 4770 4929 4950 4960 5088 5115 5247 5280 5300 5456 5580 5830 6138 6200 6360 6572 6600 6820 6975 6996 7200 7440 7632 7920 7950 8184 8215 8480 8525 8745 8800 8928 9300 9328 9540 9858 9900 10230 10494 10600 10912 11160 11660 11925 12276 12400 12720 13144 13200 13640 13950 13992 14575 14787 14880 15264 15345 15840 15900 16368 16430 17050 17490 18073 18600 18656 19080 19716 19800 20460 20988 21200 22320 23320 23850 24552 24645 24800 25440 25575 26235 26288 26400 27280 27900 27984 29150 29574 30690 31800 32736 32860 34100 34980 36146 37200 38160 39432 39600 40920 41075 41976 42400 43725 44640 46640 47700 49104 49290 51150 52470 52576 54219 54560 55800 55968 58300 59148 61380 63600 65720 68200 69960 72292 73935 74400 76320 76725 78864 79200 81840 82150 83952 87450 90365 93280 95400 98208 98580 102300 104940 108438 111600 116600 118296 122760 123225 127200 131175 131440 136400 139920 144584 147870 153450 157728 162657 163680 164300 167904 174900 180730 190800 197160 204600 209880 216876 223200 233200 236592 245520 246450 262350 262880 271095 272800 279840 289168 295740 306900 325314 328600 349800 361460 369675 381600 394320 409200 419760 433752 451825 466400 473184 491040 492900 524700 542190 578336 591480 613800 650628 657200 699600 722920 739350 788640 813285 818400 839520 867504 903650 985800 1049400 1084380 1182960 1227600 1301256 1314400 1355475 1399200 1445840 1478700 1626570 1735008 1807300 1971600 2098800 2168760 2365920 2455200 2602512 2710950 2891680 2957400 3253140 3614600 3943200 4066425 4197600 4337520 5205024 5421900 5914800 6506280 7229200 8132850 8675040 10843800 11829600 13012560 14458400 16265700 21687600 26025120 32531400 43375200 65062800 130125600
- Sum of all divisors σ(n): 526466304
- Sum of proper divisors (its aliquot sum) s(n): 396340704
- 130125600 is an abundant number, because the sum of its proper divisors (396340704) is greater than itself. Its abundance is 266215104
Bases of 130125600
- Binary: 1111100000110001111001000002
- Hexadecimal: 0x7C18F20
- Base-36: 25H1K0
Squares and roots of 130125600
- 130125600 squared (1301256002) is 16932671775360000
- 130125600 cubed (1301256003) is 2203374074371785216000000
-
The
square root of 130125600 is 11407.2608456193 -
The
cube root of 130125600 is 506.7427940397
Scales and comparisons
How big is 130125600?- 130,125,600 seconds is equal to 4 years, 7 weeks, 1 day, 2 hours.
-
To count from 1 to 130,125,600 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 130125600 cubic inches would be around 42.2 feet tall.
Recreational maths with 130125600
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